# nonlinear partial differential equations for scientists and engineers

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## Nonlinear Partial Differential Equations For Scientists And Engineers

**Author :**Lokenath Debnath

**ISBN :**9781489928467

**Genre :**Mathematics

**File Size :**86. 69 MB

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This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

## Linear Partial Differential Equations For Scientists And Engineers

**Author :**Tyn Myint-U

**ISBN :**0817645608

**Genre :**Mathematics

**File Size :**86. 68 MB

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This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.

## Partial Differential Equations For Scientists And Engineers

**Author :**Tyn Myint U.

**ISBN :**UOM:39015048327160

**Genre :**Mathematics

**File Size :**58. 23 MB

**Format :**PDF, ePub

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## Numerical Solution Of Partial Differential Equations In Science And Engineering

**Author :**Leon Lapidus

**ISBN :**9781118031216

**Genre :**Mathematics

**File Size :**89. 27 MB

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From the reviews of Numerical Solution of PartialDifferential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, evenexhaustive, survey of the subject . . . [It] is unique in that itcovers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic)mode of presentation. Many different computational schemes aredescribed in great detail . . . Numerous practical examples andapplications are described from beginning to the end, often withcalculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages tolucid developments of the methods [for solving partial differentialequations] . . . the writing is very polished and I found it apleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen andEli L. Isaacson. A modern, practical look at numerical analysis,this book guides readers through a broad selection of numericalmethods, implementation, and basic theoretical results, with anemphasis on methods used in scientific computation involvingdifferential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan.Presenting an easily accessible treatment of mathematical methodsfor scientists and engineers, this acclaimed work covers fluidmechanics and calculus of variations as well as more modernmethods-dimensional analysis and scaling, nonlinear wavepropagation, bifurcation, and singular perturbation. 1996(0-471-16513-1) 496 pp.

## Partial Differential Equations For Scientists And Engineers

**Author :**Stanley J. Farlow

**ISBN :**9780486134734

**Genre :**Mathematics

**File Size :**61. 6 MB

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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

## Nonlinear Partial Differential Equations In Engineering

**Author :**W. F. Ames

**ISBN :**9780080955247

**Genre :**Mathematics

**File Size :**68. 66 MB

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Nonlinear Partial Differential Equations in Engineering

## Nonlinear Partial Differential Equations In Engineering And Applied Science

**Author :**Robert L. Sternberg

**ISBN :**9781351428064

**Genre :**Mathematics

**File Size :**73. 84 MB

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In this volume are twenty-eight papers from the Conference on Nonlinear Partial Differential Equationsin Engineering and Applied Science, sponsored by the Office of Naval Research and held at the Universityof Rhode Island in June, 1979. Included are contributions from an international group of distinguishedmathematicians, scientists, and engineers coming from a wide variety of disciplines and having a commoninterest in the application of mathematics, particularly nonlinear partial differential equations, to realworld problems.The subject matter ranges from almost purely mathematical topics in numerical analysis and bifurcationtheory to a host of practical applications that involve nonlinear partial differential equations, suchas fluid dynamics, nonlinear waves, elasticity, viscoelasticity, hyperelasticity, solitons, metallurgy, shocklessairfoil design, quantum fields, and Darcy's law on flows in porous media.Non/inear Partial Differential Equations in Engineering and Applied Science focuses on a variety oftopics of specialized, contemporary concern to mathematicians, physical and biological scientists, andengineers who work with phenomena that can be described by nonlinear partial differential equations.

## Handbook Of Linear Partial Differential Equations For Engineers And Scientists

**Author :**Andrei D. Polyanin

**ISBN :**9781420035322

**Genre :**Mathematics

**File Size :**89. 66 MB

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Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with constant and variable coefficients New exact solutions to linear equations and boundary value problems Equations and problems of general form that depend on arbitrary functions Formulas for constructing solutions to nonhomogeneous boundary value problems Second- and higher-order equations and boundary value problems An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

## Partial Differential Equations

**Author :**Abdul-Majid Wazwaz

**ISBN :**9058093697

**Genre :**Mathematics

**File Size :**39. 20 MB

**Format :**PDF

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This text gathers, revises and explains the newly developed Adomian decomposition method along with its modification and some traditional techniques.

## Differential Equations And Group Methods For Scientists And Engineers

**Author :**James M. Hill

**ISBN :**0849344425

**Genre :**Mathematics

**File Size :**29. 81 MB

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Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.